Basically, yes. The "general solution" is a function that, for different values of the 'undetermined coefficients' gives all solutions to the equation. A "particular solution" is one of those.
What is the difference between finding the difference equation, finding the general solution, and finding the particular solution?
My take on finding the particular solution, its a particular solution if you given an initial condition such as y=2 when x=-3... am I right?
The general solution is when you find y but still don't know what C is... am I right?